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If y="cosec"(3 tan^(-1) x),"then "dy/dx=...

If `y="cosec"(3 tan^(-1) x),"then "dy/dx=`

A

` (3cosec (3tan ^(-1) x) cot(3tan ^(-1) x))/( 1+x^(2))`

B

` (-3cosec (3tan ^(-1) x) cot(3tan ^(-1) x))/( 1+x^(2))`

C

` (cosec (3tan ^(-1) x) cot(3tan ^(-1) x))/( 1+x^(2))`

D

` (-cosec (3tan ^(-1) x) cot(3tan ^(-1) x))/( 1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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